Lectures related to Asymptotic States and S-matrix

Asymptotic States and S-matrix: Operators

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.

Asymptotic States and S-matrix

Covers the concept of asymptotic states and S-matrix in quantum field theory, focusing on the evolution of wave packets and the scattering states.

Discrete Symmetries: Asymptotic States and S-matrix

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

Quantum Fluids: Cross Section & Lifetime

Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.

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QED: Gauge Theories

Covers Quantum Electrodynamics (QED), instantons, Feynman rules, and gauge theories in modern particle physics.

Linear Algebra: Matrices Properties

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

From AdS/CFT to Soft Theorems

Explores the transition from AdS/CFT to soft theorems in flat space physics, including the construction of scattering states and the application of Weinberg soft theorems.

Introduction to Quantum Mechanics

Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.

Singular Value Decomposition: Applications and Interpretation

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Matrix Multiplication: Basics and Properties

Covers the basics of matrix multiplication, including properties and examples.

Matrix Operations: Definitions and Properties

Covers the definitions and properties of matrices, including matrix operations and determinants.

Magnetic Scattering: Pairwise Little Group and Pairwise Helicity

Explores magnetic scattering, focusing on pairwise little group and helicity, constructing the S-matrix and analyzing multi-particle representations.

Characterization of Invertible Matrices

Explores the properties of invertible matrices, including unique solutions and linear independence.

Matrix Equations and Homogeneous Systems

Explores matrix equations, homogeneous systems, solutions, consistency, and properties.

Matrix Factorization: Least Squares Method

Covers the factorization of a matrix and the least squares method.

Matrix Equations: Finding Free Variables

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Eigenvalues and Matrix Equations: A Comprehensive Analysis

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

Matrix Norms and Exponential Functions: Key Properties

Covers the definition and properties of matrix norms and the exponential of matrices.